27 citations · 29 across the 6 of their papers we have counts for
6 papers
Nontrivial solutions of Hammerstein integral equations with reflections
Alberto Cabada, Gennaro Infante, F. Adrián F. Tojo
Using the theory of fixed point index, we establish new results for the existence of nonzero solutions of Hammerstein integral equations with reflections. We apply our results to a…
Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
Alberto Cabada, F. Adrián F. Tojo
This work is devoted to the study of first order linear problems with involution and periodic boundary value conditions. We first prove a correspondence between a large set of such…
Solutions and Green's function of the first order linear equation with reflection and initial conditions
Alberto Cabada, F. Adrián F. Tojo
This work is devoted to the study of the existence and sign of Green's functions for first order linear problems with constant coefficients and initial (one point) conditions. We f…
Solutions of the first order linear equation with reflection and general linear conditions
Alberto Cabada, F. Adrián F. Tojo
This work is devoted to the study of first order linear problems with involution and general linear conditions. We first study the problem in the case of antiperiodic boundary cond…
Periodic solutions for some phi-Laplacian and reflection equations
Alberto Cabada, F. Adrián F. Tojo
This work is devoted to the study of the existence and periodicity of solutions of initial differential problems, paying special attention to the explicit computation of the period…
A positive fixed point theorem with applications to systems of Hammerstein integral equations
Alberto Cabada, José Ángel Cid, Gennaro Infante
We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we…